TY - GEN
T1 - Optimal ensemble control of open quantum systems with a pseudospectral method
AU - Ruths, Justin
AU - Li, Shin
PY - 2010
Y1 - 2010
N2 - In this paper, we extend our previous results concerning the application of the Legendre pseudospectral method to optimal pulse design problems for open quantum systems. We now consider the more realistic case in which systems are characterized by variations in parameter values, such as relaxation rates and coupling constants. Such dispersions in system parameters motivate us to consider an ensemble of systems, each member distinct due to distinct parameter values. We demonstrate the method with systems from nuclear magnetic resonance (NMR) spectroscopy in liquid. In particular, we highlight the flexibility and robustness of the pseudospectral method approach by developing pulses that minimize the energy or total duration of the pulse sequence.
AB - In this paper, we extend our previous results concerning the application of the Legendre pseudospectral method to optimal pulse design problems for open quantum systems. We now consider the more realistic case in which systems are characterized by variations in parameter values, such as relaxation rates and coupling constants. Such dispersions in system parameters motivate us to consider an ensemble of systems, each member distinct due to distinct parameter values. We demonstrate the method with systems from nuclear magnetic resonance (NMR) spectroscopy in liquid. In particular, we highlight the flexibility and robustness of the pseudospectral method approach by developing pulses that minimize the energy or total duration of the pulse sequence.
UR - http://www.scopus.com/inward/record.url?scp=79953137643&partnerID=8YFLogxK
U2 - 10.1109/CDC.2010.5717100
DO - 10.1109/CDC.2010.5717100
M3 - Conference contribution
AN - SCOPUS:79953137643
SN - 9781424477456
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 3008
EP - 3013
BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 49th IEEE Conference on Decision and Control, CDC 2010
Y2 - 15 December 2010 through 17 December 2010
ER -